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Finding the Fourth Proportional to 11,642, 16,065.64 and 6,336.70

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Solution

The fourth proportional to 11,642, 16,065.64 and 6,336.70 is: 8,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642 : 16,065.64 = 6,336.70 : x
  2. Step 2: Convert to fraction form
    11,642/16,065.64 = 6,336.70/x
  3. Step 3: Cross multiply
    11,642x = 16,065.64 × 6,336.70
  4. Step 4: Simplify right side
    11,642x = 101,803,140.99
  5. Step 5: Solve for x
    x = 101,803,140.99/11,642
  6. Step 6: Final answer
    x = 8,744.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.